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Finding the Third Proportional to 68.34 and 106.31

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Solution

The third proportional to 68.34 and 106.31 is: 165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.34 : 106.31 = 106.31 : x
  2. Step 2: Convert to fraction form
    68.34/106.31 = 106.31/x
  3. Step 3: Cross multiply
    68.34x = 106.31 × 106.31
  4. Step 4: Simplify right side
    68.34x = 11,302.35
  5. Step 5: Solve for x
    x = 11,302.35/68.34
  6. Step 6: Final answer
    x = 165.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.